Pi and the Area of CirclesDate: 05/11/97 at 01:11:33 From: Jason Textor Subject: Pi in the area of circles If pi truly goes on and on forever without repeating, is it impossible to find the EXACT area of a circle? Date: 05/11/97 at 03:09:45 From: Doctor Mike Subject: Re: Pi in the area of circles Jason, Sort of. When you use the A = pi*R^2 formula you are representing the exact answer in terms of pi, which can be determined to whatever accuracy you need. Fortunately you rarely really need more than several dozen places, even in the space program. Besides, if you knew pi to a "gazillion" places, and could find the area to a "gazillion" places, where could you write down the answer? Or where could you find a person with the patience, or life-span, to listen to the answer? Here's another thing to think about. Let's say the radius of the circle in question is exactly "2 over the square root of pi" feet, which is *about* 13 and a half inches. Here it is impossible to find the exact value of the radius, but the area is exactly 4. I hope this helps. -Doctor Mike, The Math Forum Check out our web site! http://mathforum.org/dr.math/ |
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